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garik1379 [7]
3 years ago
12

A circle has a diameter of 13 centimeters and a central angle EOG that measures 280°. What is the length of the intercepted arc

EG? Use 3.14 for pi and round your answer to the nearest tenth.
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
Radius = 6.5 cm
central angle 280 * 180/PI = 4.88 radians
arc length = radius * central angle (radians)
arc length = 6.5 * 4.88
arc length = <span> <span> <span> 31.8 cm
********************************************************
Double Check

Circumference entire circle = 2 * PI * radius
</span></span></span>
<span>Circumference entire circle = 2 * 3.14 * 6.5
</span>
Circumference entire circle = 40.82

Arc Length = 40.82 * (280 / 360)

Arc Length = 31.8 cm


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